Cascade for [2, 4], [2, 2, 2, 2, 2, 2, 2, 2, 4], [2, 2, 7, 2]

Singularity types \(K^2\) Orders of local
fundamental groups
Local indices Index
[4, 2], [2, 7, 2, 2], [4, 2, 2, 2, 2, 2, 2, 2, 2] 5/7 7, 35, 28 7, 7, 14 14
\(\downarrow\)
[4, 2], [2, 7, 2], [3, 2, 2, 2, 2, 2, 2, 2, 2] 625/798 7, 24, 19 7, 12, 19 1596
\(\downarrow\)
[4, 2], [2, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2] 90/91 7, 13, 10 7, 13, 1 91
\(\downarrow\)
[4, 2], [2, 6], [2, 2, 2, 2, 2, 2, 2, 2] 81/77 7, 11, 9 7, 11, 1 77
\(\downarrow\)
[4, 2], [2, 5], [2, 2, 2, 2, 2, 2, 2] 8/7 7, 9, 8 7, 3, 1 21
\(\downarrow\)
[4, 2], [2, 4], [2, 2, 2, 2, 2, 2] 9/7 7, 7, 7 7, 7, 1 7
\(\downarrow\)
[4, 2], [2, 3], [2, 2, 2, 2, 2] 54/35 7, 5, 6 7, 5, 1 35
\(\downarrow\)
[4, 2], [2, 2], [2, 2, 2, 2] 15/7 7, 3, 5 7, 1, 1 7
\(\downarrow\)
[3, 2], [2, 2], [2, 2, 2] 12/5 5, 3, 4 5, 1, 1 5
\(\downarrow\)
[2, 2], [2, 2], [2, 2] 3 3, 3, 3 1, 1, 1 1